| As aeronautical communications have advanced and unmanned aerial vehicles have proliferated,the traditional mobile ad hoc network(MANET)has expanded to threedimensional(3D)space.Emerging 3D-MANET paradigms such as flying ad hoc networks and 3D vehicle ad hoc networks have contributed significantly to various fields.Correspondingly,domestic and international research teams have conducted numerous theoretical studies and simulation verifications concentrating on the throughput capacity and delay performance of large scale 3D-MANET.However,there are still some problems in the existing research work:(1)In order to facilitate the solution of the model,most theoretical results usually assume that the nodes move in the network obeying a uniform distribution or a power-law distribution.From the perspective of the whole network,this network model is difficult to reflect the distribution of communication entities in the real 3D space;(2)For 3D space,the research results of analyzing network performance utilizing various routing algorithms are limiting,and the research work is insufficiently thorough;(3)There are still many deficiencies in the previous results in exploring the trade-off performance of the optimal network delay and capacity of 3D-MANET.The primary contribution of this paper to resolving the above issues is as follows:(1)We created a system model and framework for analyzing the performance of 3D-MANET networks: a novel cell-grided 3D-MANET network movement model based on Zipf’s law is proposed to originate from a significant amount of research data.Moreover,our model can cover a variety of distribution scenarios with changes in the φ(node aggregation degree distribution index)value.A transmission scheduling scheme of "parallel transmission group" is further considered,which can ensure that multiple communication links in the network transmit simultaneously without interfering with one another.The specific transmission scenario can be adapted by modifying the scheduling parameter α.(2)Based on the model framework,we infer and analyze the 3D-MANET packet delivery rate,network capacity,and delay performance in detail using probability theory,random processes,queuing theory,and other theoretical tools by adopting the classic two-hop nonredundant relay routing strategy and two-hop redundant(redundancy is r)relay routing strategy.(3)Since the redundant relay reduces the delay by increasing the redundancy r but dramatically weakens the capacity performance,we propose a wireless multi-hop relay routing scheme enabling wireless access points(WAP)in this paper to optimize the network performance and explore the optimal network delay-capacity relationship.The multi-hop relay routing scheme integrates the advantages of broadcast transmission and data packet redundancy.By deploying WAP in network cells with a high degree of node aggregation,nodes can access WAP and broadcast data packets,accelerating the data packet delivery process.Furthermore,by analyzing the network capacity and delay performance using this scheme,it is demonstrated that the WAP multi-hop relay scheme effectively improves the delay performance while incurring less capacity loss when compared to the two-hop relay scheme,which significantly improves transmission efficiency and achieves a better delay-capacity trade-off performance.(4)According to a series of theoretical results derived,we analyze the effects of the number of network nodes n,the number of network cells m,redundancy r,and the node aggregation degree distribution index φ on the network capacity and delay performance in this paper.The results indicate that when φ ≈ 1,the WAP relay scheme achieves the best network delaycapacity performance,making full use of network users’ mobile and distribution status information in different regions and reasonably dividing network cells will be expected save deployment costs and improve network performance further. |